Factual error: Gotham City's museum should brush up on its paleontology. Their sign claims the neosaurus egg is 40 million years old. A) Neosaurus lived in the early Permian period, 290 million years ago. And B) All dinosaurs were rendered extinct 65 million years ago, most likely by an asteroid strike. So 40 million years ago, there were no dinosaurs on Earth.
Factual error: The British curator from whom Lord Ffogg steals a collection of artifacts needs to go back to school (or someone in Batman's prop dept. does). While most of the signs are correctly spelled and punctuated ("Duchess of Desborough's Diamonds," "Her Majesty's Priceless Snuffboxes," etc.), the one marked "Lady Easterlands Jeweled Easter Eggs" is missing its requisite possessive apostrophe. (The closed captioner noticed, though, and corrected the mistake there).
Factual error: When Batgirl checks Batman's pulse, she states that his pulse is "three beats per minute." However, she only holds Batman's wrist for two seconds. There is no way she could have determined that pulse rate in so short a time. It is unlikely she could have detected even one heartbeat at that rate in two seconds.